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Finding the Fourth Proportional to 426.47, 590.18 and 416.22

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Solution

The fourth proportional to 426.47, 590.18 and 416.22 is: 576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 590.18 = 416.22 : x
  2. Step 2: Convert to fraction form
    426.47/590.18 = 416.22/x
  3. Step 3: Cross multiply
    426.47x = 590.18 × 416.22
  4. Step 4: Simplify right side
    426.47x = 245,645.76
  5. Step 5: Solve for x
    x = 245,645.76/426.47
  6. Step 6: Final answer
    x = 576.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.